1. **State the problem:** We have a piecewise function: $$f(x) = \begin{cases} 9x - 6, & x < 0 \\ 9x - 12, & x \geq 0 \end{cases}$$ We need to calculate $f(-1)$, $f(0)$, and $f(2)$. 2. **Evaluate $f(-1)$:** Since $-1 < 0$, use the first piece: $$f(-1) = 9(-1) - 6 = -9 - 6 = -15$$ 3. **Evaluate $f(0)$:** Since $0 \geq 0$, use the second piece: $$f(0) = 9(0) - 12 = 0 - 12 = -12$$ 4. **Evaluate $f(2)$:** Since $2 \geq 0$, use the second piece: $$f(2) = 9(2) - 12 = 18 - 12 = 6$$ **Final answers:** $$f(-1) = -15, \quad f(0) = -12, \quad f(2) = 6$$